312122112 has 72 divisors (see below), whose sum is σ = 848472576. Its totient is φ = 101815296.

The previous prime is 312122093. The next prime is 312122117. The reversal of 312122112 is 211221213.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312122091 and 312122100.

It is not an unprimeable number, because it can be changed into a prime (312122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31773 + ... + 40419.

Almost surely, 2^312122112 is an apocalyptic number.

312122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424236288).

312122112 is an abundant number, since it is smaller than the sum of its proper divisors (536350464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312122112 is an equidigital number, since it uses as much as digits as its factorization.

312122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8699 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 312122112 is about 17666.9780098352. The cubic root of 312122112 is about 678.3307615939.

Adding to 312122112 its reverse (211221213), we get a palindrome (523343325).

The spelling of 312122112 in words is "three hundred twelve million, one hundred twenty-two thousand, one hundred twelve".